Search a number
-
+
18867830300480 = 265740212094787
BaseRepresentation
bin1000100101001000000100…
…10100101001111101000000
32110210202011112102200100102
410102210002110221331000
54433112304024103410
6104043432300141532
73655104265245620
oct422440224517500
973722145380312
1018867830300480
116014890359717
1221488662378a8
13a6b2c8790a05
144932ca518880
1522abe00772a5
hex112902529f40

18867830300480 has 112 divisors (see below), whose sum is σ = 51360246800256. Its totient is φ = 6467358504960.

The previous prime is 18867830300461. The next prime is 18867830300491. The reversal of 18867830300480 is 8400303876881.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×188678303004802 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7959647 + ... + 10054433.

Almost surely, 218867830300480 is an apocalyptic number.

18867830300480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18867830300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25680123400128).

18867830300480 is an abundant number, since it is smaller than the sum of its proper divisors (32492416499776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18867830300480 is a wasteful number, since it uses less digits than its factorization.

18867830300480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098832 (or 2098822 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 56.

The spelling of 18867830300480 in words is "eighteen trillion, eight hundred sixty-seven billion, eight hundred thirty million, three hundred thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 4021 8042 16084 20105 28147 32168 40210 56294 64336 80420 112588 128672 140735 160840 225176 257344 281470 321680 450352 562940 643360 900704 1125880 1286720 1801408 2094787 2251760 4189574 4503520 8379148 9007040 10473935 14663509 16758296 20947870 29327018 33516592 41895740 58654036 67033184 73317545 83791480 117308072 134066368 146635090 167582960 234616144 293270180 335165920 469232288 586540360 670331840 938464576 1173080720 2346161440 4692322880 8423138527 16846277054 33692554108 42115692635 58961969689 67385108216 84231385270 117923939378 134770216432 168462770540 235847878756 269540432864 294809848445 336925541080 471695757512 539080865728 589619696890 673851082160 943391515024 1179239393780 1347702164320 1886783030048 2358478787560 2695404328640 3773566060096 4716957575120 9433915150240 18867830300480